Strong Vector Equilibrium Problems

Authors:
Gong Xunhua
Affiliations:
Department of Mathematics, Nanchang University, Nanchang, People's Republic of China 330047
Venue:
Journal of Global Optimization
Year:
2006

Citing 0
Cited 5

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Existence and stability of solutions for generalized strong vector quasi-equilibrium problem

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Minimax theorems for scalar set-valued mappings with nonconvex domains and applications

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Abstract

In this paper, the existence of the solution for strong vector equilibrium problems is studied by using the separation theorem for convex sets. The arc-wise connectedness and the closedness of the strong solution set for vector equilibrium problems are discussed; and a necessary and sufficient condition for the strong solution is obtained.